Question

Смешали индийский и грузинский чай. Индийский чай составил 30% всей смеси если в эту смесь добавить еще 120 г индийского чая то он будет составлять 45% сколько граммов индийского чая было смесей первоначально.

Answer 1

240 г индийского чая

Answer 2

Problem Analysis

We are given that a mixture of Indian and Georgian tea was made. Indian tea initially made up 30% of the mixture. If an additional 120g of Indian tea is added to the mixture, it will then make up 45% of the mixture. We need to determine the initial amount of Indian tea in the mixture.

Solution

Let's assume the initial amount of the mixture is M grams. Since Indian tea initially made up 30% of the mixture, the amount of Indian tea in the mixture is 0.3M grams.

When an additional 120g of Indian tea is added, the total amount of Indian tea becomes 0.3M + 120g. This new amount of Indian tea makes up 45% of the mixture.

To find the initial amount of Indian tea, we can set up the following equation:

0.3M + 120g = 0.45M

Now, let's solve this equation to find the value of M.

0.3M - 0.45M = -120g

-0.15M = -120g

M = (-120g) / (-0.15)

M = 800g

Therefore, the initial amount of the mixture was 800 grams.

To find the initial amount of Indian tea in the mixture, we can substitute the value of M into the equation:

0.3M = 0.3 * 800g = 240g

Therefore, the initial amount of Indian tea in the mixture was 240 grams.

Answer

The initial amount of Indian tea in the mixture was 240 grams.